Pith Number

pith:KMMOQQGI

pith:2012:KMMOQQGI3YZENO6XRQXG2N3PFQ

not attested not anchored not stored refs pending

A density theorem for parameterized differential Galois theory

Thomas Dreyfus

arxiv:1203.2904 v4 · 2012-03-13 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KMMOQQGI3YZENO6XRQXG2N3PFQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:53:07.049608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5318e840c8de3246bbd78c2e6d376f2c2fe5b929bab1d613bbbd9e1dc88c3abd

Aliases

arxiv: 1203.2904 · arxiv_version: 1203.2904v4 · doi: 10.48550/arxiv.1203.2904 · pith_short_12: KMMOQQGI3YZE · pith_short_16: KMMOQQGI3YZENO6X · pith_short_8: KMMOQQGI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KMMOQQGI3YZENO6XRQXG2N3PFQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5318e840c8de3246bbd78c2e6d376f2c2fe5b929bab1d613bbbd9e1dc88c3abd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ceeef90a6881bfefd2711882043974238db3ee57bf03888e9a6b75618bc0949e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-03-13T19:27:51Z",
    "title_canon_sha256": "969a8d9ddb3e1bad10f00868606ad682af074f956026dbc78201fa628efd803d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2904",
    "kind": "arxiv",
    "version": 4
  }
}